Hi all,
I had my front and rear lawns returfed 2 years ago and they look reasonably good. However I have a few problems:

I have a couple of bare patches on my rear lawn.

Some broad bladed grass growing

A type of weed/plant growing in the lawn I've never seen before.

I mow once a week, not too short and put a weed & feed down last week. The weed & feed is doing it's job but hasn't killed this bizarre plant. How can I treat my lawn to resolve all three problems?
Thanks,
Rod